document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830370>Question 830370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a 10-lb mixture of peanuts, cashews, and raisins sell for $14. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $1.50 per pound. The weight of peanuts in the mixture is twice the weight of cashews in the mixture.\r<BR>\n" );
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document.write( "A. write a system of equations that represent the problem\r<BR>\n" );
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document.write( "B. find the number of pounds of each ingredient in the mixture. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500557 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pounds of peanuts, cashews, raisins as p,c, r.<BR>\n" );
document.write( "Prices: 1 dollars per pound peanuts, 2 dollars per pound cashews, 1.50 dollars per pound raisins.<BR>\n" );
document.write( "Price of mixture: $14.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=2c ALIGN=MIDDLE  ALT=\"p=2c\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Accounting for price of mixture:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ap%2B2%2Ac%2B1.5%2Ar=14 ALIGN=MIDDLE  ALT=\"1%2Ap%2B2%2Ac%2B1.5%2Ar=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Accounting for pounds: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2Bc%2Br=10 ALIGN=MIDDLE  ALT=\"p%2Bc%2Br=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Substitute for p in the two accounting equations and simplify:<BR>\n" );
document.write( "2c+2c+1.5r=14<BR>\n" );
document.write( "4c+1.5r=14<BR>\n" );
document.write( "To use all integer coefficients multiply by 2...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%288c%2B3r=28%29 ALIGN=MIDDLE  ALT=\"highlight_green%288c%2B3r=28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2c+c+r=10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283c%2Br=10%29 ALIGN=MIDDLE  ALT=\"highlight_green%283c%2Br=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the simultaneous equations highlighted with green.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c%2Br=10 ALIGN=MIDDLE  ALT=\"3c%2Br=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9c%2B3r=30 ALIGN=MIDDLE  ALT=\"9c%2B3r=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289c%2B3r%29-%288c%2B3r%29=30-28 ALIGN=MIDDLE  ALT=\"%289c%2B3r%29-%288c%2B3r%29=30-28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c=2%29 ALIGN=MIDDLE  ALT=\"highlight%28c=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-<BR>\n" );
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document.write( "p=2c<BR>\n" );
document.write( "p=2*2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=4%29 ALIGN=MIDDLE  ALT=\"highlight%28p=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Use either of the accounting equations to find the value for r.<BR>\n" );
document.write( "Using 3c+r=10<BR>\n" );
document.write( "r=10-3c<BR>\n" );
document.write( "r=10-3*2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=4%29 ALIGN=MIDDLE  ALT=\"highlight%28r=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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